Resolver -2^2*(1-3/4)^2+sqrt{frac{32/128}}{(-1^2-1)^3-475-31/4}-sqrt{196}+sqrt[3]{64}*01=

$$\frac { - 2 ^ { 2 } \cdot ( 1 - \frac { 3 } { 4 } ) ^ { 2 } + \sqrt { \frac { 32 } { 128 } } } { ( - 1 ^ { 2 } - 1 ) ^ { 3 } - 475 - 3 \frac { 1 } { 4 } } - \sqrt { 196 } + \sqrt[ 3 ] { 64 } \cdot 01 =$$

Avaliar

$$-\frac{27231}{1945}\approx -14,000514139$$

Passos Para a Resolução

Calcule 2 elevado a 2 e obtenha 4.

$$\frac{-4\left(1-\frac{3}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Subtraia \frac{3}{4} de 1 para obter \frac{1}{4}.

$$\frac{-4\times \left(\frac{1}{4}\right)^{2}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Calcule \frac{1}{4} elevado a 2 e obtenha \frac{1}{16}.

$$\frac{-4\times \frac{1}{16}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Multiplique -4 e \frac{1}{16} para obter -\frac{1}{4}.

$$\frac{-\frac{1}{4}+\sqrt{\frac{32}{128}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Reduza a fração \frac{32}{128} para os termos mais baixos ao retirar e anular 32.

$$\frac{-\frac{1}{4}+\sqrt{\frac{1}{4}}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Reescreva a raiz quadrada da divisão \frac{1}{4} à medida que a divisão de raízes quadradas \frac{\sqrt{1}}{\sqrt{4}}. Calcule a raiz quadrada do numerador e do denominador.

$$\frac{-\frac{1}{4}+\frac{1}{2}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Some -\frac{1}{4} e \frac{1}{2} para obter \frac{1}{4}.

$$\frac{\frac{1}{4}}{\left(-1^{2}-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Calcule 1 elevado a 2 e obtenha 1.

$$\frac{\frac{1}{4}}{\left(-1-1\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Subtraia 1 de -1 para obter -2.

$$\frac{\frac{1}{4}}{\left(-2\right)^{3}-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Calcule -2 elevado a 3 e obtenha -8.

$$\frac{\frac{1}{4}}{-8-475-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Subtraia 475 de -8 para obter -483.

$$\frac{\frac{1}{4}}{-483-\frac{3\times 4+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Multiplique 3 e 4 para obter 12.

$$\frac{\frac{1}{4}}{-483-\frac{12+1}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Some 12 e 1 para obter 13.

$$\frac{\frac{1}{4}}{-483-\frac{13}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Subtraia \frac{13}{4} de -483 para obter -\frac{1945}{4}.

$$\frac{\frac{1}{4}}{-\frac{1945}{4}}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Divida \frac{1}{4} por -\frac{1945}{4} ao multiplicar \frac{1}{4} pelo recíproco de -\frac{1945}{4}.

$$\frac{1}{4}\left(-\frac{4}{1945}\right)-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Multiplique \frac{1}{4} e -\frac{4}{1945} para obter -\frac{1}{1945}.

$$-\frac{1}{1945}-\sqrt{196}+\sqrt[3]{64}\times 0\times 1$$

Calcule a raiz quadrada de 196 e obtenha 14.

$$-\frac{1}{1945}-14+\sqrt[3]{64}\times 0\times 1$$

Subtraia 14 de -\frac{1}{1945} para obter -\frac{27231}{1945}.

$$-\frac{27231}{1945}+\sqrt[3]{64}\times 0\times 1$$

Calcule \sqrt[3]{64} e obtenha 4.

$$-\frac{27231}{1945}+4\times 0\times 1$$

Multiplique 4 e 0 para obter 0.

$$-\frac{27231}{1945}+0\times 1$$

Multiplique 0 e 1 para obter 0.

$$-\frac{27231}{1945}+0$$

Some -\frac{27231}{1945} e 0 para obter -\frac{27231}{1945}.

$$-\frac{27231}{1945}$$

Fatorizar

$$-\frac{27231}{1945} = -14\frac{1}{1945} = -14,000514138817481$$